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Flashcards in Complex Numbers Deck (6)
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1

Give the cartesian form of a complex number 

z = x + iy 

2

Give the polar form of a complex number 

r = e

r = modulus/absolute value/magnitude. |z| = √(x2+y2)

tanθ = (y/x). Draw out diagrams!! 

3

Define i 

i2 = -1

i is the square root of -1

4

Define the modulus of a complex number, r 

Also known as the magnitude or absolute value. 

r = √x2 + y2

5

Define the argument of a complex number

θ is the argument. 

θ = tan-1(y/x)

6

Describe the process of finding roots

By multiplying r by e2nπi before taking roots, all solutions to the equation can be found